The third term in an arithmetic sequence is 58 and the fifth term is 90. if the first term is a1, which is an equation for the n
th term of this sequence? 1. an = 8n + 10 2. an = 8n − 14 3. an = 16n + 10 4. an = 16n − 38
1 answer:
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We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3
Answer:
2x + 3y = 20
Step-by-step explanation:
Slope of the line is -2/3 . We can use any of the given points to find the equation of the line. Lets use (1, 6)
The general point-slope form of a line is:
Here m is the slope which is -2/3
x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6
Using these values, we get: